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Finding the Fourth Proportional to 9,774.96, 13,492.73 and 6,094.22

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Solution

The fourth proportional to 9,774.96, 13,492.73 and 6,094.22 is: 8,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.96 : 13,492.73 = 6,094.22 : x
  2. Step 2: Convert to fraction form
    9,774.96/13,492.73 = 6,094.22/x
  3. Step 3: Cross multiply
    9,774.96x = 13,492.73 × 6,094.22
  4. Step 4: Simplify right side
    9,774.96x = 82,227,567.09
  5. Step 5: Solve for x
    x = 82,227,567.09/9,774.96
  6. Step 6: Final answer
    x = 8,412.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.